29893086144 has 168 divisors, whose sum is σ = 90905460048. Its totient is φ = 9359400960.

The previous prime is 29893086121. The next prime is 29893086169. The reversal of 29893086144 is 44168039892.

29893086144 is a `hidden beast` number, since 298 + 9 + 308 + 6 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5353434 + ... + 5359014.

Almost surely, 2^29893086144 is an apocalyptic number.

29893086144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29893086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45452730024).

29893086144 is an abundant number, since it is smaller than the sum of its proper divisors (61012373904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29893086144 is a wasteful number, since it uses less digits than its factorization.

29893086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 29893086144 in words is "twenty-nine billion, eight hundred ninety-three million, eighty-six thousand, one hundred forty-four".